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5668993200 = 2435213363397
BaseRepresentation
bin1010100011110010…
…11111100010110000
3112122002012200201010
411101321133202300
543102230240300
62334310110520
7260324434653
oct52171374260
915562180633
105668993200
112449aa9552
12112264b440
136c4632960
143bac8789a
15232a51a50
hex151e5f8b0

5668993200 has 120 divisors (see below), whose sum is σ = 19556626768. Its totient is φ = 1395440640.

The previous prime is 5668993199. The next prime is 5668993237. The reversal of 5668993200 is 23998665.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5668993200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166099 + ... + 197298.

Almost surely, 25668993200 is an apocalyptic number.

5668993200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5668993200 is an abundant number, since it is smaller than the sum of its proper divisors (13887633568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5668993200 is a wasteful number, since it uses less digits than its factorization.

5668993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363431 (or 363420 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 5668993200 is about 75292.7167792476. The cubic root of 5668993200 is about 1783.0710356550.

The spelling of 5668993200 in words is "five billion, six hundred sixty-eight million, nine hundred ninety-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 363397 726794 1090191 1453588 1816985 2180382 2907176 3633970 4360764 4724161 5450955 5814352 7267940 8721528 9084925 9448322 10901910 14172483 14535880 17443056 18169850 18896644 21803820 23620805 27254775 28344966 29071760 36339700 37793288 43607640 47241610 54509550 56689932 70862415 72679400 75586576 87215280 94483220 109019100 113379864 118104025 141724830 145358800 188966440 218038200 226759728 236208050 283449660 354312075 377932880 436076400 472416100 566899320 708624150 944832200 1133798640 1417248300 1889664400 2834496600 5668993200